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CUET UG Mathematics Applied Previous Year Questions (PYQs)

CUET UG Mathematics Applied Increasing Decreasing Function PYQ


CUET UG Mathematics Applied PYQ
If a function $f(x)=x^{2}+bx+1$ is increasing in the interval $[1,2]$, then the least value of $b$ is:





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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2024 Mathematics PYQ

Solution


CUET UG Mathematics Applied PYQ
The function $f(x)=x^2-2x$ is strictly decreasing in the interval





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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

$f(x)=x^2-2x$

Differentiate:

$f'(x)=2x-2$

For strictly decreasing,

$f'(x)<0$

$2x-2<0$

$2x<2$

$x<1$

So function is strictly decreasing in

$(-\infty,1)$


CUET UG Mathematics Applied


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CUET UG Mathematics Applied


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